2 edition of **Harmonic analysis of functions of several complex variables in the classical domains.** found in the catalog.

Harmonic analysis of functions of several complex variables in the classical domains.

Lo-kГЄng Hua

- 295 Want to read
- 10 Currently reading

Published
**1963** by American Mathematical Society in Providence .

Written in English

- Functions of complex variables,
- Harmonic analysis

**Edition Notes**

Series | Translations of mathematical monographs -- v. 6 |

The Physical Object | |
---|---|

Pagination | 164p. |

Number of Pages | 164 |

ID Numbers | |

Open Library | OL14815530M |

points of a function with the Betti numbers of the domain. In his book, Topological methods in the study of functions of a complex variable [1], Morse, did a complete treatment of the critical points theory of functions of two variables which resemble harmonic functions topologically. In doing this, he proved all the standard theo-. In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. HARMONIC ANALYSIS OF SWITCHING FUNCTIONS This chapter treats both theoretical and practical aspects of abstract harmonic analysis, with particular emphasis on discrete-valued functions of binary arguments. Of course, extensions to continuous real or complexvalued functions are possible and have considerable practical by: Historical perspective. Many examples of such functions were familiar in nineteenth-century mathematics: abelian functions, theta functions, and some hypergeometric lly also any function of one variable that depends on some complex parameter is a candidate. The theory, however, for many years didn't become a full-fledged area in mathematical analysis, since its .

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Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains (L. Hua)Author: Josephine Mitchell.

: Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains (Translations of Mathematical Monographs) (): L. Hua: BooksCited by: Title (HTML): Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains Author(s) (Product display): L.

Hua Book. Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains. Luogeng Hua. American Mathematical Soc., - Mathematics - pages. 0 Reviews. What people are saying - Write a review. We haven't found any reviews in the usual places.

References to this book. Holomorphic Functions and Integral Representations in. Harmonic analysis of functions of several complex variables in the classical domains.

Providence, American Mathematical Society, (OCoLC) Document Type: Book: All Authors / Contributors: Luogeng Hua. Get this from a library. Harmonic analysis of functions of several complex variables in the classical domains.

[Lo-keng Hua]. : Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains (Translations of Mathematical Monographs) () by L. Hua and a great selection of similar New, Used and Collectible Books available now at great Range: $ - $ The harmonic analysis of several complex variables is also a relatively recent development.

Some isolated results appeared in the s and s. But the subject did not really take off until about Since that time, there have been a number of seminal works that lay the foundations of the harmonic analysis of several complex by: 2. Abstract. It is perhaps fair to say that the most influential work of modern Chinese harmonic analysts is the book “Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains” by the late Professor L.

Hua [21].Although the book was written over 30 years ago, it is still a very useful reference for information about Cartan by: 5. Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e.

an extended form of Fourier analysis).In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory. Buy Harmonic Analysis in China (Mathematics and Its Applications (closed)) on FREE SHIPPING on qualified orders.

The harmonic analysis of several complex variables builds on copious background material. We provide the necessary background in classical Fourier series, leading up to the Hilbert transform.

That will be our entree into singular integrals. Passing to several real variables, we shall meet the Riesz fractional integrals and. Several Complex Variables. Welcome,you are looking at books for reading, the Several Complex Variables, you will able to read or download in Pdf or ePub books and notice some of author may have lock the live reading for some of ore it need a FREE signup process to obtain the book.

If it available for your country it will shown as book reader and user fully subscribe. Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates. The book covers topics in analytic function spaces of several complex variables, integral transforms, harmonic.

Etymology of the term "harmonic" The descriptor "harmonic" in the name harmonic function originates from a point on a taut string which is undergoing harmonic solution to the differential equation for this type of motion can be written in terms of sines and cosines, functions which are thus referred to as r analysis involves expanding periodic functions.

The topic of the summer institute was the theory of functions of several complex variables. The emphasis in arranging the program was on the more analytical aspects of that subject, with particular attention to the relations between complex analysis and partial differential equations, to the properties of pseudo.

Harmonic analysis of functions of several complex variables in the classical domains. / [Translated from the Russian by Leo Ebner and Adam Korányi].

Author/Creator: Hua, Luogeng, Standardized Title: Duo fu bian shu han shu lun zhong di dian xing yu di tiao he fen xi. English Publication: Providence: American Mathematical Society. SUMMARY: The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable.

The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology.

Harmonic and complex analysis in several variables Krantz, Steven George Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis.

Research in classical complex analysis. At Ohio State there is a good group working in complex analysis. A lot of the efforts are going into studying L p harmonic functions on domains in C n and the Bergman Kernel.

Jeff McNeal has a good group of grad students. But functions of several complex variables are still being actively studied. Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains. Book 6. $ $ Lectures on Harmonic Analysis.

Book This book demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. It is both an introduction to the subject as a whole and an overview of those Author: George W. Mackey. The reader will also be able to trace the great influence of the late Professor Loo-keng Hua's ideas and methods on research into harmonic analysis on classical domains and the theory of functions of several complex variables.

Western scientists will thus become acquainted with the unique features and future trends of harmonic analysis in China. Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates.

The book covers topics in analytic function spaces of several complex variables, integral transforms, harmonic analysis on classical Lie groups and manifolds, L P-estimates of. Harmonic Analysis of Functions of Several Complex Variables () by L K Hua Venue: in the Classical Domains, AMS Translations of Mathematical Monographs 6: Add To MetaCart.

Tools. Sorted by: Results 1 - 10 of Next 10 → A new class of. This book explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through the middle of the twentieth century.

In the work, the author introduces the mathematical world created by his advisor, Kiyoshi this volume, Oka's work is divided into two parts. The Hardcover of the Starting with the Unit Circle: Background to Higher Analysis by K. Weltin, L.-K.

Hua | at Barnes & Noble. FREE Shipping on $35 or for those studying the theory of functions of several complex variables, I have written "Har monic Analysis of Functions of Several Complex Variables in the Classical Domains".

Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing.

The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Function Theory of Several Complex Variables Steven G.

Krantz This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and.

Biography. Among Krantz's research interests include: several complex variables, harmonic analysis, partial differential equations, differential geometry, interpolation of operators, Lie theory, smoothness of functions, convexity theory, the corona problem, the inner functions problem, Fourier analysis, singular integrals, Lusin area integrals, Lipschitz spaces, finite difference Alma mater: University of California at Santa.

The theory of functions of several complex variables is the branch of mathematics dealing with complex valued functions (, ,)on the space C n of n-tuples of complex numbers. As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be holomorphic or complex analytic, so that locally speaking they are power.

An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has : Reinhold Remmert.

The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to.

3 Several complex variables, geometric measure theory, and harmonic analysis authors have succeeded in further extending and reﬁning the scope of the tra-ditional Calder´on-Zygmund theory of singular integrals in Lipschitz domains.

Finally, in Section 4 we present our main results. This includes Theorem PDF | We give a survey of recent joint work with E. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem | Find, read and cite all the research Author: Loredana Lanzani.

complex analysis in several variables. The notes will add some more details to the text of Hormander, especially after the introductory material. We generally follow the numbering of results as in Hormanders book, but results in Hormander might be broken up into smaller steps, for example, Lemma in Hormanders book is broken up into File Size: KB.

"A very good choice." &#; MathSciNet, American Mathematical SocietyAn exploration of the unity of several areas in harmonic analysis, this self-contained text emphasizes real-variable methods.

Appropriate for advanced undergraduate and graduate students, it starts with classical. This survey describes recent advances on quadrature domains that were made in the context of the ESF Network on Harmonic and Complex Analysis and its Applications (–).

Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, Translations of Mathematical Monographs 6, American Mathematical Society, Providence, RI.

Humphreys, J. ().Cited by: This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the Cited by:.

[12] Krantz S G. Function Theory of Several Complex Variables, 2nd ed. Providence: Amer Math Soc, Google Scholar [13] Liu T S. The growth theorems, covering theorems and distortion theorems for biholomorphic mappings on classical domains.Description: The theory of functions of a complex variable is a central theme in mathematical analysis that has links to several branches of mathematics.

Understanding the basics of the theory is necessary for anyone who wants to have a general mathematical training or for anyone who wants to use mathematics in applied sciences or technology.[1] Automorphic functions of several complex variables. Moscow: IL, - p.

[2] Hua Lo-Ken. Harmonic analysis of functions of several complex variables in classical :IL,p. [3] skiy-Shapiro. Geometry of classical domains and the theory of automorphic :Nauka,p.